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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>MarketR</th>\n",
       "      <th>MarketR_e</th>\n",
       "      <th>rfmonth</th>\n",
       "      <th>ret</th>\n",
       "      <th>ret_e</th>\n",
       "      <th>marketret3</th>\n",
       "      <th>marketret6</th>\n",
       "      <th>marketret12</th>\n",
       "      <th>Q</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>month</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1991-01-31</th>\n",
       "      <td>0.029998</td>\n",
       "      <td>0.036554</td>\n",
       "      <td>0.006930</td>\n",
       "      <td>0.023068</td>\n",
       "      <td>0.029624</td>\n",
       "      <td>-0.084127</td>\n",
       "      <td>-0.305662</td>\n",
       "      <td>0.254049</td>\n",
       "      <td>1991 Q1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1991-02-28</th>\n",
       "      <td>0.010203</td>\n",
       "      <td>0.021860</td>\n",
       "      <td>0.006930</td>\n",
       "      <td>0.003273</td>\n",
       "      <td>0.014930</td>\n",
       "      <td>-0.183573</td>\n",
       "      <td>-0.384745</td>\n",
       "      <td>0.241492</td>\n",
       "      <td>1991 Q1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1991-03-31</th>\n",
       "      <td>-0.099663</td>\n",
       "      <td>-0.060425</td>\n",
       "      <td>0.006930</td>\n",
       "      <td>-0.106593</td>\n",
       "      <td>-0.067355</td>\n",
       "      <td>-0.252928</td>\n",
       "      <td>-0.445049</td>\n",
       "      <td>0.288857</td>\n",
       "      <td>1991 Q1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1991-04-30</th>\n",
       "      <td>-0.079652</td>\n",
       "      <td>-0.031449</td>\n",
       "      <td>0.006651</td>\n",
       "      <td>-0.086303</td>\n",
       "      <td>-0.038100</td>\n",
       "      <td>-0.234776</td>\n",
       "      <td>-0.394937</td>\n",
       "      <td>0.691749</td>\n",
       "      <td>1991 Q2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1991-05-31</th>\n",
       "      <td>-0.074521</td>\n",
       "      <td>0.005375</td>\n",
       "      <td>0.006092</td>\n",
       "      <td>-0.080613</td>\n",
       "      <td>-0.000717</td>\n",
       "      <td>-0.236294</td>\n",
       "      <td>0.181673</td>\n",
       "      <td>1.542701</td>\n",
       "      <td>1991 Q2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-08-31</th>\n",
       "      <td>-0.055570</td>\n",
       "      <td>-0.041538</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>-0.056811</td>\n",
       "      <td>-0.042779</td>\n",
       "      <td>-0.089387</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-09-30</th>\n",
       "      <td>-0.005689</td>\n",
       "      <td>0.000357</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>-0.006930</td>\n",
       "      <td>-0.000884</td>\n",
       "      <td>-0.033855</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-10-31</th>\n",
       "      <td>-0.026321</td>\n",
       "      <td>-0.009959</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>-0.027562</td>\n",
       "      <td>-0.011200</td>\n",
       "      <td>-0.047817</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-11-30</th>\n",
       "      <td>0.001790</td>\n",
       "      <td>0.034280</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>0.000549</td>\n",
       "      <td>0.033039</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-12-31</th>\n",
       "      <td>-0.020003</td>\n",
       "      <td>-0.020632</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>-0.021244</td>\n",
       "      <td>-0.021873</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q4</td>\n",
       "    </tr>\n",
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       "<p>396 rows × 9 columns</p>\n",
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       "             MarketR  MarketR_e   rfmonth       ret     ret_e  marketret3  \\\n",
       "month                                                                       \n",
       "1991-01-31  0.029998   0.036554  0.006930  0.023068  0.029624   -0.084127   \n",
       "1991-02-28  0.010203   0.021860  0.006930  0.003273  0.014930   -0.183573   \n",
       "1991-03-31 -0.099663  -0.060425  0.006930 -0.106593 -0.067355   -0.252928   \n",
       "1991-04-30 -0.079652  -0.031449  0.006651 -0.086303 -0.038100   -0.234776   \n",
       "1991-05-31 -0.074521   0.005375  0.006092 -0.080613 -0.000717   -0.236294   \n",
       "...              ...        ...       ...       ...       ...         ...   \n",
       "2023-08-31 -0.055570  -0.041538  0.001241 -0.056811 -0.042779   -0.089387   \n",
       "2023-09-30 -0.005689   0.000357  0.001241 -0.006930 -0.000884   -0.033855   \n",
       "2023-10-31 -0.026321  -0.009959  0.001241 -0.027562 -0.011200   -0.047817   \n",
       "2023-11-30  0.001790   0.034280  0.001241  0.000549  0.033039         NaN   \n",
       "2023-12-31 -0.020003  -0.020632  0.001241 -0.021244 -0.021873         NaN   \n",
       "\n",
       "            marketret6  marketret12        Q  \n",
       "month                                         \n",
       "1991-01-31   -0.305662     0.254049  1991 Q1  \n",
       "1991-02-28   -0.384745     0.241492  1991 Q1  \n",
       "1991-03-31   -0.445049     0.288857  1991 Q1  \n",
       "1991-04-30   -0.394937     0.691749  1991 Q2  \n",
       "1991-05-31    0.181673     1.542701  1991 Q2  \n",
       "...                ...          ...      ...  \n",
       "2023-08-31         NaN          NaN  2023 Q3  \n",
       "2023-09-30         NaN          NaN  2023 Q3  \n",
       "2023-10-31         NaN          NaN  2023 Q4  \n",
       "2023-11-30         NaN          NaN  2023 Q4  \n",
       "2023-12-31         NaN          NaN  2023 Q4  \n",
       "\n",
       "[396 rows x 9 columns]"
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       "      <th>1987-01-31</th>\n",
       "      <td>5.1</td>\n",
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       "            cpi\n",
       "month          \n",
       "1987-01-31  5.1\n",
       "1987-02-28  5.4\n",
       "1987-03-31  5.8\n",
       "1987-04-30  6.7\n",
       "1987-05-31  7.6\n",
       "...         ...\n",
       "2024-05-31  0.3\n",
       "2024-06-30  0.2\n",
       "2024-07-31  0.5\n",
       "2024-08-31  0.6\n",
       "2024-09-30  0.4\n",
       "\n",
       "[453 rows x 1 columns]"
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     "text": [
      "C:\\Users\\ma970\\AppData\\Local\\Temp\\ipykernel_49912\\3831519683.py:47: FutureWarning: 'M' is deprecated and will be removed in a future version, please use 'ME' instead.\n",
      "  price_dividend['month'] = pd.date_range(start='1990-12-31', end='2024-12-31', freq='M')\n"
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       "      <th>2024-09-30</th>\n",
       "      <td>10.889979</td>\n",
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       "      <th>2024-10-31</th>\n",
       "      <td>10.862945</td>\n",
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       "      <th>2024-11-30</th>\n",
       "      <td>10.858076</td>\n",
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       "      <th>2024-12-31</th>\n",
       "      <td>10.842070</td>\n",
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       "                   pd\n",
       "month                \n",
       "1990-12-31        NaN\n",
       "1991-01-31        NaN\n",
       "1991-02-28        NaN\n",
       "1991-03-31        NaN\n",
       "1991-04-30        NaN\n",
       "...               ...\n",
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       "\n",
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       "      <th>1991-01-31</th>\n",
       "      <td>4.466562</td>\n",
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       "      <th>1991-02-28</th>\n",
       "      <td>4.501042</td>\n",
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       "      <th>1991-03-31</th>\n",
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       "      <th>1991-04-30</th>\n",
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       "      <th>1991-05-31</th>\n",
       "      <td>4.182871</td>\n",
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       "      <th>...</th>\n",
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       "      <th>2024-08-31</th>\n",
       "      <td>2.502897</td>\n",
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       "      <th>2024-09-30</th>\n",
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       "      <th>2024-10-31</th>\n",
       "      <td>2.635010</td>\n",
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       "      <th>2024-11-30</th>\n",
       "      <td>2.643930</td>\n",
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       "                  pe\n",
       "month               \n",
       "1991-01-31  4.466562\n",
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       "1991-03-31  4.112082\n",
       "1991-04-30  4.111121\n",
       "1991-05-31  4.182871\n",
       "...              ...\n",
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       "2024-10-31  2.635010\n",
       "2024-11-30  2.643930\n",
       "2024-12-31  2.652927\n",
       "\n",
       "[408 rows x 1 columns]"
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       "      <th>1990-12-31</th>\n",
       "      <td>1.886568</td>\n",
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       "      <th>1991-01-31</th>\n",
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       "    <tr>\n",
       "      <th>2024-09-30</th>\n",
       "      <td>0.275764</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2024-10-31</th>\n",
       "      <td>0.254341</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2024-11-30</th>\n",
       "      <td>0.263924</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2024-12-31</th>\n",
       "      <td>0.261665</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>409 rows × 1 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                  pb\n",
       "month               \n",
       "1990-12-31  1.886568\n",
       "1991-01-31  2.080065\n",
       "1991-02-28  1.949285\n",
       "1991-03-31  1.560324\n",
       "1991-04-30  1.970330\n",
       "...              ...\n",
       "2024-08-31  0.097936\n",
       "2024-09-30  0.275764\n",
       "2024-10-31  0.254341\n",
       "2024-11-30  0.263924\n",
       "2024-12-31  0.261665\n",
       "\n",
       "[409 rows x 1 columns]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>MarketR</th>\n",
       "      <th>MarketR_e</th>\n",
       "      <th>rfmonth</th>\n",
       "      <th>ret</th>\n",
       "      <th>ret_e</th>\n",
       "      <th>marketret3</th>\n",
       "      <th>marketret6</th>\n",
       "      <th>marketret12</th>\n",
       "      <th>Q</th>\n",
       "      <th>pd</th>\n",
       "      <th>pe</th>\n",
       "      <th>pb</th>\n",
       "      <th>cpi</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>month</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1995-01-31</th>\n",
       "      <td>-0.116298</td>\n",
       "      <td>-0.125837</td>\n",
       "      <td>0.008719</td>\n",
       "      <td>-0.125017</td>\n",
       "      <td>-0.134556</td>\n",
       "      <td>-0.041073</td>\n",
       "      <td>-0.105319</td>\n",
       "      <td>-0.244507</td>\n",
       "      <td>1995 Q1</td>\n",
       "      <td>11.663551</td>\n",
       "      <td>2.763315</td>\n",
       "      <td>0.804480</td>\n",
       "      <td>24.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1995-02-28</th>\n",
       "      <td>-0.014059</td>\n",
       "      <td>-0.013693</td>\n",
       "      <td>0.008719</td>\n",
       "      <td>-0.022778</td>\n",
       "      <td>-0.022412</td>\n",
       "      <td>-0.027700</td>\n",
       "      <td>0.092838</td>\n",
       "      <td>-0.166996</td>\n",
       "      <td>1995 Q1</td>\n",
       "      <td>11.660139</td>\n",
       "      <td>2.741896</td>\n",
       "      <td>0.783696</td>\n",
       "      <td>22.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1995-03-31</th>\n",
       "      <td>0.130882</td>\n",
       "      <td>0.146959</td>\n",
       "      <td>0.008719</td>\n",
       "      <td>0.122163</td>\n",
       "      <td>0.138240</td>\n",
       "      <td>0.164264</td>\n",
       "      <td>0.167036</td>\n",
       "      <td>-0.121024</td>\n",
       "      <td>1995 Q1</td>\n",
       "      <td>11.798194</td>\n",
       "      <td>2.844483</td>\n",
       "      <td>0.866200</td>\n",
       "      <td>21.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1995-04-30</th>\n",
       "      <td>-0.104304</td>\n",
       "      <td>-0.101424</td>\n",
       "      <td>0.008719</td>\n",
       "      <td>-0.113023</td>\n",
       "      <td>-0.110143</td>\n",
       "      <td>-0.064104</td>\n",
       "      <td>0.019801</td>\n",
       "      <td>-0.228282</td>\n",
       "      <td>1995 Q2</td>\n",
       "      <td>11.587058</td>\n",
       "      <td>2.603794</td>\n",
       "      <td>0.614429</td>\n",
       "      <td>20.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1995-05-31</th>\n",
       "      <td>0.175455</td>\n",
       "      <td>0.199416</td>\n",
       "      <td>0.008719</td>\n",
       "      <td>0.166736</td>\n",
       "      <td>0.190697</td>\n",
       "      <td>0.121428</td>\n",
       "      <td>0.156143</td>\n",
       "      <td>0.208097</td>\n",
       "      <td>1995 Q2</td>\n",
       "      <td>11.589752</td>\n",
       "      <td>2.746883</td>\n",
       "      <td>0.760117</td>\n",
       "      <td>20.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-08-31</th>\n",
       "      <td>-0.055570</td>\n",
       "      <td>-0.041538</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>-0.056811</td>\n",
       "      <td>-0.042779</td>\n",
       "      <td>-0.089387</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q3</td>\n",
       "      <td>10.842950</td>\n",
       "      <td>2.563063</td>\n",
       "      <td>0.261976</td>\n",
       "      <td>0.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-09-30</th>\n",
       "      <td>-0.005689</td>\n",
       "      <td>0.000357</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>-0.006930</td>\n",
       "      <td>-0.000884</td>\n",
       "      <td>-0.033855</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q3</td>\n",
       "      <td>10.842972</td>\n",
       "      <td>2.557339</td>\n",
       "      <td>0.256286</td>\n",
       "      <td>0.0</td>\n",
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       "    <tr>\n",
       "      <th>2023-10-31</th>\n",
       "      <td>-0.026321</td>\n",
       "      <td>-0.009959</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>-0.027562</td>\n",
       "      <td>-0.011200</td>\n",
       "      <td>-0.047817</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q4</td>\n",
       "      <td>10.815828</td>\n",
       "      <td>2.544169</td>\n",
       "      <td>0.210872</td>\n",
       "      <td>-0.2</td>\n",
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       "      <th>2023-11-30</th>\n",
       "      <td>0.001790</td>\n",
       "      <td>0.034280</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>0.000549</td>\n",
       "      <td>0.033039</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q4</td>\n",
       "      <td>10.816644</td>\n",
       "      <td>2.544870</td>\n",
       "      <td>0.213978</td>\n",
       "      <td>-0.5</td>\n",
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       "    <tr>\n",
       "      <th>2023-12-31</th>\n",
       "      <td>-0.020003</td>\n",
       "      <td>-0.020632</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>-0.021244</td>\n",
       "      <td>-0.021873</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q4</td>\n",
       "      <td>10.817151</td>\n",
       "      <td>2.527098</td>\n",
       "      <td>0.194641</td>\n",
       "      <td>-0.3</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
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      ],
      "text/plain": [
       "             MarketR  MarketR_e   rfmonth       ret     ret_e  marketret3  \\\n",
       "month                                                                       \n",
       "1995-01-31 -0.116298  -0.125837  0.008719 -0.125017 -0.134556   -0.041073   \n",
       "1995-02-28 -0.014059  -0.013693  0.008719 -0.022778 -0.022412   -0.027700   \n",
       "1995-03-31  0.130882   0.146959  0.008719  0.122163  0.138240    0.164264   \n",
       "1995-04-30 -0.104304  -0.101424  0.008719 -0.113023 -0.110143   -0.064104   \n",
       "1995-05-31  0.175455   0.199416  0.008719  0.166736  0.190697    0.121428   \n",
       "...              ...        ...       ...       ...       ...         ...   \n",
       "2023-08-31 -0.055570  -0.041538  0.001241 -0.056811 -0.042779   -0.089387   \n",
       "2023-09-30 -0.005689   0.000357  0.001241 -0.006930 -0.000884   -0.033855   \n",
       "2023-10-31 -0.026321  -0.009959  0.001241 -0.027562 -0.011200   -0.047817   \n",
       "2023-11-30  0.001790   0.034280  0.001241  0.000549  0.033039         NaN   \n",
       "2023-12-31 -0.020003  -0.020632  0.001241 -0.021244 -0.021873         NaN   \n",
       "\n",
       "            marketret6  marketret12        Q         pd        pe        pb  \\\n",
       "month                                                                         \n",
       "1995-01-31   -0.105319    -0.244507  1995 Q1  11.663551  2.763315  0.804480   \n",
       "1995-02-28    0.092838    -0.166996  1995 Q1  11.660139  2.741896  0.783696   \n",
       "1995-03-31    0.167036    -0.121024  1995 Q1  11.798194  2.844483  0.866200   \n",
       "1995-04-30    0.019801    -0.228282  1995 Q2  11.587058  2.603794  0.614429   \n",
       "1995-05-31    0.156143     0.208097  1995 Q2  11.589752  2.746883  0.760117   \n",
       "...                ...          ...      ...        ...       ...       ...   \n",
       "2023-08-31         NaN          NaN  2023 Q3  10.842950  2.563063  0.261976   \n",
       "2023-09-30         NaN          NaN  2023 Q3  10.842972  2.557339  0.256286   \n",
       "2023-10-31         NaN          NaN  2023 Q4  10.815828  2.544169  0.210872   \n",
       "2023-11-30         NaN          NaN  2023 Q4  10.816644  2.544870  0.213978   \n",
       "2023-12-31         NaN          NaN  2023 Q4  10.817151  2.527098  0.194641   \n",
       "\n",
       "             cpi  \n",
       "month             \n",
       "1995-01-31  24.1  \n",
       "1995-02-28  22.4  \n",
       "1995-03-31  21.3  \n",
       "1995-04-30  20.7  \n",
       "1995-05-31  20.3  \n",
       "...          ...  \n",
       "2023-08-31   0.1  \n",
       "2023-09-30   0.0  \n",
       "2023-10-31  -0.2  \n",
       "2023-11-30  -0.5  \n",
       "2023-12-31  -0.3  \n",
       "\n",
       "[348 rows x 13 columns]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
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    },
    {
     "data": {
      "text/plain": [
       "count    348.00000\n",
       "mean       3.03822\n",
       "std        0.47294\n",
       "min        2.33970\n",
       "25%        2.64887\n",
       "50%        2.86879\n",
       "75%        3.47757\n",
       "max        3.99791\n",
       "Name: pe, dtype: float64"
      ]
     },
     "execution_count": 14,
     "metadata": {},
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    },
    {
     "data": {
      "text/plain": [
       "0.5833996815451465"
      ]
     },
     "execution_count": 14,
     "metadata": {},
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    },
    {
     "data": {
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       "-0.8929406490447032"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
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     "output_type": "stream",
     "text": [
      "原始序列的ADF检验结果:\n",
      "ADF Statistic: -2.9679\n",
      "p-value: 0.0380\n",
      "Critical Values:\n",
      "   1%: -3.4535\n",
      "   5%: -2.8717\n",
      "   10%: -2.5722\n",
      "结论: p-value小于0.05，拒绝原假设，序列是平稳的。\n"
     ]
    },
    {
     "data": {
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       "[<matplotlib.lines.Line2D at 0x211c0255760>]"
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     "execution_count": 14,
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     "data": {
      "text/plain": [
       "Text(0.5, 1.0, \"China's Stock Market Price Earnings Ratio\")"
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      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                    ret   R-squared:                       0.001\n",
      "Model:                            OLS   Adj. R-squared:                 -0.003\n",
      "Method:                 Least Squares   F-statistic:                    0.1180\n",
      "Date:                Tue, 11 Nov 2025   Prob (F-statistic):              0.731\n",
      "Time:                        23:45:26   Log-Likelihood:                 333.81\n",
      "No. Observations:                 288   AIC:                            -663.6\n",
      "Df Residuals:                     286   BIC:                            -656.3\n",
      "Df Model:                           1                                         \n",
      "Covariance Type:                  HAC                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "Intercept      0.0391      0.092      0.423      0.672      -0.142       0.220\n",
      "lpd           -0.0028      0.008     -0.343      0.731      -0.019       0.013\n",
      "==============================================================================\n",
      "Omnibus:                       13.422   Durbin-Watson:                   1.667\n",
      "Prob(Omnibus):                  0.001   Jarque-Bera (JB):               32.205\n",
      "Skew:                          -0.012   Prob(JB):                     1.02e-07\n",
      "Kurtosis:                       4.638   Cond. No.                         201.\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] Standard Errors are heteroscedasticity and autocorrelation robust (HAC) using 6 lags and without small sample correction\n",
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                    ret   R-squared:                       0.039\n",
      "Model:                            OLS   Adj. R-squared:                  0.033\n",
      "Method:                 Least Squares   F-statistic:                     3.960\n",
      "Date:                Tue, 11 Nov 2025   Prob (F-statistic):             0.0201\n",
      "Time:                        23:45:26   Log-Likelihood:                 339.48\n",
      "No. Observations:                 288   AIC:                            -673.0\n",
      "Df Residuals:                     285   BIC:                            -662.0\n",
      "Df Model:                           2                                         \n",
      "Covariance Type:                  HAC                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "Intercept      0.0912      0.095      0.956      0.339      -0.096       0.278\n",
      "lcpi          -0.0078      0.003     -2.790      0.005      -0.013      -0.002\n",
      "lpd           -0.0059      0.008     -0.717      0.473      -0.022       0.010\n",
      "==============================================================================\n",
      "Omnibus:                       14.365   Durbin-Watson:                   1.725\n",
      "Prob(Omnibus):                  0.001   Jarque-Bera (JB):               34.038\n",
      "Skew:                           0.115   Prob(JB):                     4.06e-08\n",
      "Kurtosis:                       4.668   Cond. No.                         208.\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] Standard Errors are heteroscedasticity and autocorrelation robust (HAC) using 6 lags and without small sample correction\n"
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       "      <td>-0.134556</td>\n",
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       "      <td>0.138240</td>\n",
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       "      <td>-0.110143</td>\n",
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       "      <td>0.019801</td>\n",
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       "      <td>2.746883</td>\n",
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       "      <td>-0.000884</td>\n",
       "      <td>-0.033855</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q3</td>\n",
       "      <td>10.842972</td>\n",
       "      <td>2.557339</td>\n",
       "      <td>0.256286</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.842950</td>\n",
       "      <td>-0.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-10-31</th>\n",
       "      <td>-0.026321</td>\n",
       "      <td>-0.009959</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>-0.027562</td>\n",
       "      <td>-0.011200</td>\n",
       "      <td>-0.047817</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q4</td>\n",
       "      <td>10.815828</td>\n",
       "      <td>2.544169</td>\n",
       "      <td>0.210872</td>\n",
       "      <td>-0.2</td>\n",
       "      <td>10.842972</td>\n",
       "      <td>0.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-11-30</th>\n",
       "      <td>0.001790</td>\n",
       "      <td>0.034280</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>0.000549</td>\n",
       "      <td>0.033039</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q4</td>\n",
       "      <td>10.816644</td>\n",
       "      <td>2.544870</td>\n",
       "      <td>0.213978</td>\n",
       "      <td>-0.5</td>\n",
       "      <td>10.815828</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-12-31</th>\n",
       "      <td>-0.020003</td>\n",
       "      <td>-0.020632</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>-0.021244</td>\n",
       "      <td>-0.021873</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q4</td>\n",
       "      <td>10.817151</td>\n",
       "      <td>2.527098</td>\n",
       "      <td>0.194641</td>\n",
       "      <td>-0.3</td>\n",
       "      <td>10.816644</td>\n",
       "      <td>-0.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>348 rows × 15 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "             MarketR  MarketR_e   rfmonth       ret     ret_e  marketret3  \\\n",
       "month                                                                       \n",
       "1995-01-31 -0.116298  -0.125837  0.008719 -0.125017 -0.134556   -0.041073   \n",
       "1995-02-28 -0.014059  -0.013693  0.008719 -0.022778 -0.022412   -0.027700   \n",
       "1995-03-31  0.130882   0.146959  0.008719  0.122163  0.138240    0.164264   \n",
       "1995-04-30 -0.104304  -0.101424  0.008719 -0.113023 -0.110143   -0.064104   \n",
       "1995-05-31  0.175455   0.199416  0.008719  0.166736  0.190697    0.121428   \n",
       "...              ...        ...       ...       ...       ...         ...   \n",
       "2023-08-31 -0.055570  -0.041538  0.001241 -0.056811 -0.042779   -0.089387   \n",
       "2023-09-30 -0.005689   0.000357  0.001241 -0.006930 -0.000884   -0.033855   \n",
       "2023-10-31 -0.026321  -0.009959  0.001241 -0.027562 -0.011200   -0.047817   \n",
       "2023-11-30  0.001790   0.034280  0.001241  0.000549  0.033039         NaN   \n",
       "2023-12-31 -0.020003  -0.020632  0.001241 -0.021244 -0.021873         NaN   \n",
       "\n",
       "            marketret6  marketret12        Q         pd        pe        pb  \\\n",
       "month                                                                         \n",
       "1995-01-31   -0.105319    -0.244507  1995 Q1  11.663551  2.763315  0.804480   \n",
       "1995-02-28    0.092838    -0.166996  1995 Q1  11.660139  2.741896  0.783696   \n",
       "1995-03-31    0.167036    -0.121024  1995 Q1  11.798194  2.844483  0.866200   \n",
       "1995-04-30    0.019801    -0.228282  1995 Q2  11.587058  2.603794  0.614429   \n",
       "1995-05-31    0.156143     0.208097  1995 Q2  11.589752  2.746883  0.760117   \n",
       "...                ...          ...      ...        ...       ...       ...   \n",
       "2023-08-31         NaN          NaN  2023 Q3  10.842950  2.563063  0.261976   \n",
       "2023-09-30         NaN          NaN  2023 Q3  10.842972  2.557339  0.256286   \n",
       "2023-10-31         NaN          NaN  2023 Q4  10.815828  2.544169  0.210872   \n",
       "2023-11-30         NaN          NaN  2023 Q4  10.816644  2.544870  0.213978   \n",
       "2023-12-31         NaN          NaN  2023 Q4  10.817151  2.527098  0.194641   \n",
       "\n",
       "             cpi        lpd  lcpi  \n",
       "month                              \n",
       "1995-01-31  24.1        NaN   NaN  \n",
       "1995-02-28  22.4  11.663551   NaN  \n",
       "1995-03-31  21.3  11.660139  24.1  \n",
       "1995-04-30  20.7  11.798194  22.4  \n",
       "1995-05-31  20.3  11.587058  21.3  \n",
       "...          ...        ...   ...  \n",
       "2023-08-31   0.1  10.890490   0.0  \n",
       "2023-09-30   0.0  10.842950  -0.3  \n",
       "2023-10-31  -0.2  10.842972   0.1  \n",
       "2023-11-30  -0.5  10.815828   0.0  \n",
       "2023-12-31  -0.3  10.816644  -0.2  \n",
       "\n",
       "[348 rows x 15 columns]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>MarketR</th>\n",
       "      <th>MarketR_e</th>\n",
       "      <th>rfmonth</th>\n",
       "      <th>ret</th>\n",
       "      <th>ret_e</th>\n",
       "      <th>marketret3</th>\n",
       "      <th>marketret6</th>\n",
       "      <th>marketret12</th>\n",
       "      <th>Q</th>\n",
       "      <th>pd</th>\n",
       "      <th>pe</th>\n",
       "      <th>pb</th>\n",
       "      <th>cpi</th>\n",
       "      <th>lpd</th>\n",
       "      <th>lcpi</th>\n",
       "      <th>fitted_ret</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>month</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1995-01-31</th>\n",
       "      <td>-0.116298</td>\n",
       "      <td>-0.125837</td>\n",
       "      <td>0.008719</td>\n",
       "      <td>-0.125017</td>\n",
       "      <td>-0.134556</td>\n",
       "      <td>-0.041073</td>\n",
       "      <td>-0.105319</td>\n",
       "      <td>-0.244507</td>\n",
       "      <td>1995 Q1</td>\n",
       "      <td>11.663551</td>\n",
       "      <td>2.763315</td>\n",
       "      <td>0.804480</td>\n",
       "      <td>24.1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1995-02-28</th>\n",
       "      <td>-0.014059</td>\n",
       "      <td>-0.013693</td>\n",
       "      <td>0.008719</td>\n",
       "      <td>-0.022778</td>\n",
       "      <td>-0.022412</td>\n",
       "      <td>-0.027700</td>\n",
       "      <td>0.092838</td>\n",
       "      <td>-0.166996</td>\n",
       "      <td>1995 Q1</td>\n",
       "      <td>11.660139</td>\n",
       "      <td>2.741896</td>\n",
       "      <td>0.783696</td>\n",
       "      <td>22.4</td>\n",
       "      <td>11.663551</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1995-03-31</th>\n",
       "      <td>0.130882</td>\n",
       "      <td>0.146959</td>\n",
       "      <td>0.008719</td>\n",
       "      <td>0.122163</td>\n",
       "      <td>0.138240</td>\n",
       "      <td>0.164264</td>\n",
       "      <td>0.167036</td>\n",
       "      <td>-0.121024</td>\n",
       "      <td>1995 Q1</td>\n",
       "      <td>11.798194</td>\n",
       "      <td>2.844483</td>\n",
       "      <td>0.866200</td>\n",
       "      <td>21.3</td>\n",
       "      <td>11.660139</td>\n",
       "      <td>24.1</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1995-04-30</th>\n",
       "      <td>-0.104304</td>\n",
       "      <td>-0.101424</td>\n",
       "      <td>0.008719</td>\n",
       "      <td>-0.113023</td>\n",
       "      <td>-0.110143</td>\n",
       "      <td>-0.064104</td>\n",
       "      <td>0.019801</td>\n",
       "      <td>-0.228282</td>\n",
       "      <td>1995 Q2</td>\n",
       "      <td>11.587058</td>\n",
       "      <td>2.603794</td>\n",
       "      <td>0.614429</td>\n",
       "      <td>20.7</td>\n",
       "      <td>11.798194</td>\n",
       "      <td>22.4</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1995-05-31</th>\n",
       "      <td>0.175455</td>\n",
       "      <td>0.199416</td>\n",
       "      <td>0.008719</td>\n",
       "      <td>0.166736</td>\n",
       "      <td>0.190697</td>\n",
       "      <td>0.121428</td>\n",
       "      <td>0.156143</td>\n",
       "      <td>0.208097</td>\n",
       "      <td>1995 Q2</td>\n",
       "      <td>11.589752</td>\n",
       "      <td>2.746883</td>\n",
       "      <td>0.760117</td>\n",
       "      <td>20.3</td>\n",
       "      <td>11.587058</td>\n",
       "      <td>21.3</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-08-31</th>\n",
       "      <td>-0.055570</td>\n",
       "      <td>-0.041538</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>-0.056811</td>\n",
       "      <td>-0.042779</td>\n",
       "      <td>-0.089387</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q3</td>\n",
       "      <td>10.842950</td>\n",
       "      <td>2.563063</td>\n",
       "      <td>0.261976</td>\n",
       "      <td>0.1</td>\n",
       "      <td>10.890490</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.026706</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-09-30</th>\n",
       "      <td>-0.005689</td>\n",
       "      <td>0.000357</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>-0.006930</td>\n",
       "      <td>-0.000884</td>\n",
       "      <td>-0.033855</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q3</td>\n",
       "      <td>10.842972</td>\n",
       "      <td>2.557339</td>\n",
       "      <td>0.256286</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.842950</td>\n",
       "      <td>-0.3</td>\n",
       "      <td>0.029332</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-10-31</th>\n",
       "      <td>-0.026321</td>\n",
       "      <td>-0.009959</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>-0.027562</td>\n",
       "      <td>-0.011200</td>\n",
       "      <td>-0.047817</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q4</td>\n",
       "      <td>10.815828</td>\n",
       "      <td>2.544169</td>\n",
       "      <td>0.210872</td>\n",
       "      <td>-0.2</td>\n",
       "      <td>10.842972</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.026206</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-11-30</th>\n",
       "      <td>0.001790</td>\n",
       "      <td>0.034280</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>0.000549</td>\n",
       "      <td>0.033039</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q4</td>\n",
       "      <td>10.816644</td>\n",
       "      <td>2.544870</td>\n",
       "      <td>0.213978</td>\n",
       "      <td>-0.5</td>\n",
       "      <td>10.815828</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.027148</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-12-31</th>\n",
       "      <td>-0.020003</td>\n",
       "      <td>-0.020632</td>\n",
       "      <td>0.001241</td>\n",
       "      <td>-0.021244</td>\n",
       "      <td>-0.021873</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2023 Q4</td>\n",
       "      <td>10.817151</td>\n",
       "      <td>2.527098</td>\n",
       "      <td>0.194641</td>\n",
       "      <td>-0.3</td>\n",
       "      <td>10.816644</td>\n",
       "      <td>-0.2</td>\n",
       "      <td>0.028706</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>348 rows × 16 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "             MarketR  MarketR_e   rfmonth       ret     ret_e  marketret3  \\\n",
       "month                                                                       \n",
       "1995-01-31 -0.116298  -0.125837  0.008719 -0.125017 -0.134556   -0.041073   \n",
       "1995-02-28 -0.014059  -0.013693  0.008719 -0.022778 -0.022412   -0.027700   \n",
       "1995-03-31  0.130882   0.146959  0.008719  0.122163  0.138240    0.164264   \n",
       "1995-04-30 -0.104304  -0.101424  0.008719 -0.113023 -0.110143   -0.064104   \n",
       "1995-05-31  0.175455   0.199416  0.008719  0.166736  0.190697    0.121428   \n",
       "...              ...        ...       ...       ...       ...         ...   \n",
       "2023-08-31 -0.055570  -0.041538  0.001241 -0.056811 -0.042779   -0.089387   \n",
       "2023-09-30 -0.005689   0.000357  0.001241 -0.006930 -0.000884   -0.033855   \n",
       "2023-10-31 -0.026321  -0.009959  0.001241 -0.027562 -0.011200   -0.047817   \n",
       "2023-11-30  0.001790   0.034280  0.001241  0.000549  0.033039         NaN   \n",
       "2023-12-31 -0.020003  -0.020632  0.001241 -0.021244 -0.021873         NaN   \n",
       "\n",
       "            marketret6  marketret12        Q         pd        pe        pb  \\\n",
       "month                                                                         \n",
       "1995-01-31   -0.105319    -0.244507  1995 Q1  11.663551  2.763315  0.804480   \n",
       "1995-02-28    0.092838    -0.166996  1995 Q1  11.660139  2.741896  0.783696   \n",
       "1995-03-31    0.167036    -0.121024  1995 Q1  11.798194  2.844483  0.866200   \n",
       "1995-04-30    0.019801    -0.228282  1995 Q2  11.587058  2.603794  0.614429   \n",
       "1995-05-31    0.156143     0.208097  1995 Q2  11.589752  2.746883  0.760117   \n",
       "...                ...          ...      ...        ...       ...       ...   \n",
       "2023-08-31         NaN          NaN  2023 Q3  10.842950  2.563063  0.261976   \n",
       "2023-09-30         NaN          NaN  2023 Q3  10.842972  2.557339  0.256286   \n",
       "2023-10-31         NaN          NaN  2023 Q4  10.815828  2.544169  0.210872   \n",
       "2023-11-30         NaN          NaN  2023 Q4  10.816644  2.544870  0.213978   \n",
       "2023-12-31         NaN          NaN  2023 Q4  10.817151  2.527098  0.194641   \n",
       "\n",
       "             cpi        lpd  lcpi  fitted_ret  \n",
       "month                                          \n",
       "1995-01-31  24.1        NaN   NaN         NaN  \n",
       "1995-02-28  22.4  11.663551   NaN         NaN  \n",
       "1995-03-31  21.3  11.660139  24.1         NaN  \n",
       "1995-04-30  20.7  11.798194  22.4         NaN  \n",
       "1995-05-31  20.3  11.587058  21.3         NaN  \n",
       "...          ...        ...   ...         ...  \n",
       "2023-08-31   0.1  10.890490   0.0    0.026706  \n",
       "2023-09-30   0.0  10.842950  -0.3    0.029332  \n",
       "2023-10-31  -0.2  10.842972   0.1    0.026206  \n",
       "2023-11-30  -0.5  10.815828   0.0    0.027148  \n",
       "2023-12-31  -0.3  10.816644  -0.2    0.028706  \n",
       "\n",
       "[348 rows x 16 columns]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x211b6dd7740>]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'month')"
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     "text": [
      "    Table - OLS Regressions: Forecast Monthly Stock Market Return\n",
      "======================================================================\n",
      "                    1       2       3        4         5         6    \n",
      "----------------------------------------------------------------------\n",
      "Intercept        0.039   0.029   0.014   0.022***  0.091     -0.119   \n",
      "                 (0.092) (0.033) (0.009) (0.008)   (0.095)   (0.324)  \n",
      "lpd              -0.003                            -0.006    0.031    \n",
      "                 (0.008)                           (0.008)   (0.038)  \n",
      "lpe                      -0.008                              -0.078*  \n",
      "                         (0.012)                             (0.046)  \n",
      "lpb                              -0.010                      0.022    \n",
      "                                 (0.015)                     (0.046)  \n",
      "lcpi                                     -0.008*** -0.008*** -0.010***\n",
      "                                         (0.003)   (0.003)   (0.003)  \n",
      "R-squared        0.001   0.002   0.003   0.037     0.039     0.054    \n",
      "R-squared Adj.   -0.003  -0.001  -0.000  0.033     0.033     0.041    \n",
      "No. observations 288     288     288     288       288       288      \n",
      "======================================================================\n",
      "Standard errors in parentheses.\n",
      "* p<.1, ** p<.05, ***p<.01\n"
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       "      <th>2022-12-31</th>\n",
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       "                 ret        pe        pb         pd   cpi\n",
       "month                                                    \n",
       "1995-03-31 -0.040492  8.349693  2.454375  35.121883  67.8\n",
       "1995-06-30 -0.063176  8.005821  2.042218  34.608962  59.2\n",
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       "1996-03-31 -0.022218  7.673771  1.633477  33.651385  28.1\n",
       "...              ...       ...       ...        ...   ...\n",
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       "2023-06-30 -0.021438  7.753881  0.897631  32.822195   0.3\n",
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       "\n",
       "[116 rows x 5 columns]"
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     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                    ret   R-squared:                       0.088\n",
      "Model:                            OLS   Adj. R-squared:                  0.068\n",
      "Method:                 Least Squares   F-statistic:                     4.048\n",
      "Date:                Tue, 11 Nov 2025   Prob (F-statistic):             0.0206\n",
      "Time:                        23:45:26   Log-Likelihood:                 47.002\n",
      "No. Observations:                  96   AIC:                            -88.00\n",
      "Df Residuals:                      93   BIC:                            -80.31\n",
      "Df Model:                           2                                         \n",
      "Covariance Type:                  HAC                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "Intercept      0.4431      0.308      1.438      0.150      -0.161       1.047\n",
      "lpd           -0.0108      0.009     -1.209      0.227      -0.028       0.007\n",
      "lcpi          -0.0077      0.003     -2.825      0.005      -0.013      -0.002\n",
      "==============================================================================\n",
      "Omnibus:                       19.999   Durbin-Watson:                   1.519\n",
      "Prob(Omnibus):                  0.000   Jarque-Bera (JB):               26.164\n",
      "Skew:                           1.025   Prob(JB):                     2.08e-06\n",
      "Kurtosis:                       4.530   Cond. No.                         617.\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] Standard Errors are heteroscedasticity and autocorrelation robust (HAC) using 2 lags and without small sample correction\n",
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                    ret   R-squared:                       0.088\n",
      "Model:                            OLS   Adj. R-squared:                  0.068\n",
      "Method:                 Least Squares   F-statistic:                     4.048\n",
      "Date:                Tue, 11 Nov 2025   Prob (F-statistic):             0.0206\n",
      "Time:                        23:45:26   Log-Likelihood:                 47.002\n",
      "No. Observations:                  96   AIC:                            -88.00\n",
      "Df Residuals:                      93   BIC:                            -80.31\n",
      "Df Model:                           2                                         \n",
      "Covariance Type:                  HAC                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "Intercept      0.4431      0.308      1.438      0.150      -0.161       1.047\n",
      "lpd           -0.0108      0.009     -1.209      0.227      -0.028       0.007\n",
      "lcpi          -0.0077      0.003     -2.825      0.005      -0.013      -0.002\n",
      "==============================================================================\n",
      "Omnibus:                       19.999   Durbin-Watson:                   1.519\n",
      "Prob(Omnibus):                  0.000   Jarque-Bera (JB):               26.164\n",
      "Skew:                           1.025   Prob(JB):                     2.08e-06\n",
      "Kurtosis:                       4.530   Cond. No.                         617.\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] Standard Errors are heteroscedasticity and autocorrelation robust (HAC) using 2 lags and without small sample correction\n"
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      "            Table - OLS Regressions: Forecast Long Horizon Stock Market Return\n",
      "==========================================================================================\n",
      "                    1       2       3        4         5         6         7         8    \n",
      "------------------------------------------------------------------------------------------\n",
      "Intercept        0.267   0.141*  0.059** 0.065***  0.423**   0.250***  0.103***  -0.206   \n",
      "                 (0.210) (0.079) (0.023) (0.019)   (0.208)   (0.091)   (0.028)   (0.696)  \n",
      "lpd              -0.021                            -0.031*                       0.077    \n",
      "                 (0.019)                           (0.018)                       (0.077)  \n",
      "lpe                      -0.040                              -0.060**            -0.217** \n",
      "                         (0.028)                             (0.030)             (0.103)  \n",
      "lpb                              -0.051                                -0.051    0.055    \n",
      "                                 (0.033)                               (0.032)   (0.114)  \n",
      "lcpi                                     -0.021*** -0.022*** -0.024*** -0.021*** -0.027***\n",
      "                                         (0.006)   (0.006)   (0.006)   (0.006)   (0.007)  \n",
      "R-squared        0.008   0.014   0.018   0.065     0.082     0.095     0.083     0.110    \n",
      "R-squared Adj.   0.005   0.011   0.014   0.062     0.076     0.089     0.077     0.098    \n",
      "No. observations 286     286     286     286       286       286       286       286      \n",
      "==========================================================================================\n",
      "Standard errors in parentheses.\n",
      "* p<.1, ** p<.05, ***p<.01\n",
      "              Table - OLS Regressions: Forecast Long Horizon Stock Market Return\n",
      "==============================================================================================\n",
      "                    1        2         3         4         5         6         7         8    \n",
      "----------------------------------------------------------------------------------------------\n",
      "Intercept        0.844**  0.400*** 0.161***  0.118***  1.127***  0.594***  0.234***  -0.560   \n",
      "                 (0.373)  (0.142)  (0.045)   (0.036)   (0.357)   (0.155)   (0.052)   (0.955)  \n",
      "lpd              -0.069**                              -0.086***                     0.155    \n",
      "                 (0.033)                               (0.030)                       (0.111)  \n",
      "lpe                       -0.118**                               -0.154***           -0.364** \n",
      "                          (0.048)                                (0.049)             (0.181)  \n",
      "lpb                                -0.148***                               -0.150*** -0.011   \n",
      "                                   (0.056)                                 (0.051)   (0.162)  \n",
      "lcpi                                         -0.033*** -0.038*** -0.041*** -0.033*** -0.042***\n",
      "                                             (0.011)   (0.010)   (0.009)   (0.009)   (0.011)  \n",
      "R-squared        0.028    0.038    0.047     0.052     0.095     0.115     0.101     0.126    \n",
      "R-squared Adj.   0.024    0.035    0.044     0.049     0.089     0.108     0.095     0.114    \n",
      "No. observations 283      283      283       283       283       283       283       283      \n",
      "==============================================================================================\n",
      "Standard errors in parentheses.\n",
      "* p<.1, ** p<.05, ***p<.01\n",
      "              Table - OLS Regressions: Forecast Long Horizon Stock Market Return\n",
      "===============================================================================================\n",
      "                     1         2         3        4         5         6         7         8    \n",
      "-----------------------------------------------------------------------------------------------\n",
      "Intercept        2.375***  1.106***  0.452***  0.201*** 2.801***  1.407***  0.549***  -3.863***\n",
      "                 (0.559)   (0.218)   (0.096)   (0.077)  (0.546)   (0.233)   (0.113)   (1.203)  \n",
      "lpd              -0.195***                              -0.222***                     0.538*** \n",
      "                 (0.047)                                (0.044)                       (0.147)  \n",
      "lpe                        -0.331***                              -0.388***           -0.537*  \n",
      "                           (0.068)                                (0.065)             (0.315)  \n",
      "lpb                                  -0.435***                              -0.442*** -0.713** \n",
      "                                     (0.082)                                (0.076)   (0.292)  \n",
      "lcpi                                           -0.039** -0.053*** -0.060*** -0.043*** -0.040***\n",
      "                                               (0.019)  (0.017)   (0.016)   (0.015)   (0.013)  \n",
      "R-squared        0.063     0.084     0.114     0.021    0.100     0.131     0.138     0.171    \n",
      "R-squared Adj.   0.059     0.081     0.110     0.018    0.093     0.125     0.132     0.159    \n",
      "No. observations 277       277       277       277      277       277       277       277      \n",
      "===============================================================================================\n",
      "Standard errors in parentheses.\n",
      "* p<.1, ** p<.05, ***p<.01\n"
     ]
    }
   ],
   "source": [
    "import numpy as np # 数据处理最重要的模块\n",
    "import pandas as pd # 数据处理最重要的模块\n",
    "import scipy.stats as stats # 统计模块\n",
    "import scipy\n",
    "# import pymysql  # 导入数据库模块\n",
    "\n",
    "from datetime import datetime # 时间模块\n",
    "import statsmodels.formula.api as smf  # OLS regression\n",
    "\n",
    "# import pyreadr # read RDS file\n",
    "\n",
    "from matplotlib import style\n",
    "import matplotlib.pyplot as plt  # 画图模块\n",
    "import matplotlib.dates as mdates\n",
    "\n",
    "\n",
    "from matplotlib.font_manager import FontProperties # 作图中文\n",
    "from pylab import mpl\n",
    "#mpl.rcParams['font.sans-serif'] = ['SimHei']\n",
    "#plt.rcParams['font.family'] = 'Times New Roman'\n",
    "\n",
    "\n",
    "#输出矢量图 渲染矢量图\n",
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format = 'svg'\n",
    "\n",
    "from IPython.core.interactiveshell import InteractiveShell # jupyter运行输出的模块\n",
    "#显示每一个运行结果\n",
    "InteractiveShell.ast_node_interactivity = 'all'\n",
    "\n",
    "#设置行不限制数量\n",
    "#pd.set_option('display.max_rows',None)\n",
    "\n",
    "#设置列不限制数量\n",
    "pd.set_option('display.max_columns', None)\n",
    "from pandas.tseries.offsets import MonthEnd # 月末\n",
    "Market_ret = pd.read_excel('Marketret_mon_stock2023.xlsx')\n",
    "Market_ret['month'] = pd.to_datetime(Market_ret['month'], format='%b %Y') + MonthEnd(0)\n",
    "Market_ret.set_index('month', inplace=True)\n",
    "Market_ret.sort_index(inplace=True)\n",
    "Market_ret\n",
    "inflation = pd.read_csv('inflation.csv')\n",
    "inflation['month'] = pd.to_datetime(inflation['month'],format='%Y/%m/%d')\n",
    "inflation.set_index('month',inplace=True)\n",
    "inflation\n",
    "price_dividend = pd.read_csv('Price_dividend_mon2024.csv')\n",
    "price_dividend['month'] = pd.date_range(start='1990-12-31', end='2024-12-31', freq='M') \n",
    "price_dividend.set_index('month', inplace=True)\n",
    "price_dividend.sort_index(inplace=True)\n",
    "price_dividend = price_dividend.drop(columns=['Unnamed: 0'])\n",
    "price_dividend\n",
    "price_earning = pd.read_csv('Price_earnings_mon2024.csv')\n",
    "price_earning['month'] = pd.date_range(start='1991-01-31', end='2024-12-31', freq='ME')\n",
    "price_earning.set_index('month', inplace=True)\n",
    "price_earning.sort_index(inplace=True)\n",
    "price_earning \n",
    "price_bookvalue = pd.read_csv('Price_bookvalue_mon2024.csv')\n",
    "price_bookvalue['month'] = pd.date_range(start='1990-12-31', end='2024-12-31', freq='ME')\n",
    "price_bookvalue.set_index('month', inplace=True)\n",
    "price_bookvalue.sort_index(inplace=True)\n",
    "price_bookvalue\n",
    "reg_data = pd.merge(Market_ret,price_dividend,on = 'month')\n",
    "reg_data = pd.merge(reg_data,price_earning,on = 'month')\n",
    "reg_data = pd.merge(reg_data,price_bookvalue,on='month')\n",
    "reg_data = pd.merge(reg_data,inflation,on='month')\n",
    "reg_data = reg_data[reg_data.index >= '1995-01-31']\n",
    "reg_data\n",
    "reg_data['pe'].describe().round(5)\n",
    "reg_data['pb'].skew()\n",
    "reg_data['pb'].kurtosis()\n",
    "from statsmodels.tsa.stattools import adfuller as ADF\n",
    "\n",
    "# 对月收益率数据进行ADF检验\n",
    "adf_result = ADF(reg_data[reg_data.index >= '2000-01-31']['pd'])\n",
    "\n",
    "print('原始序列的ADF检验结果:')\n",
    "print(f'ADF Statistic: {adf_result[0]:.4f}')\n",
    "print(f'p-value: {adf_result[1]:.4f}')\n",
    "print('Critical Values:')\n",
    "for key, value in adf_result[4].items():\n",
    "    print(f'   {key}: {value:.4f}')\n",
    "\n",
    "if adf_result[1] <= 0.05:\n",
    "    print('结论: p-value小于0.05，拒绝原假设，序列是平稳的。')\n",
    "else:\n",
    "    print('结论: p-value大于0.05，未能拒绝原假设，序列是非平稳的。')\n",
    "fig = plt.figure(figsize=(10, 5)) # 图片比例\n",
    "ax = fig.add_subplot(1, 1, 1)  # 定义ax\n",
    "ax.plot(\n",
    "    'pe',  # 要画图的变量名\n",
    "    '.-r',  # 线的类型\n",
    "    linewidth = 1,  # 线的粗细\n",
    "    data = reg_data['1995-01-01':'2024-12-31'])  # 画图的数据\n",
    "plt.title(\"China's Stock Market Price Earnings Ratio\") # 画图的标题\n",
    "plt.xlabel('Month') # 画图的x轴名称\n",
    "plt.ylabel('PE') # 画图的y轴名称\n",
    "\n",
    "# 设置x轴的日期显示格式\n",
    "data_format = mdates.DateFormatter('%Y')\n",
    "ax.xaxis.set_major_formatter(data_format)\n",
    "ax.xaxis.set_major_locator(mdates.YearLocator())\n",
    "\n",
    "# 转置x轴的日期显示格式\n",
    "plt.xticks(rotation = 90)\n",
    "\n",
    "plt.show();\n",
    "fig = plt.figure(figsize=(10, 5)) # 图片比例\n",
    "ax = fig.add_subplot(1, 1, 1)  # 定义ax\n",
    "ax.plot(\n",
    "    'pe',  # 要画图的变量名\n",
    "    '.-r',  # 线的类型\n",
    "    linewidth = 1,  # 线的粗细\n",
    "    data = reg_data['1995-01-01':'2023-12-31'])  # 画图的数据\n",
    "ax.plot(\n",
    "    'pb',  # 要画图的变量名\n",
    "    '.-g',  # 线的类型\n",
    "    linewidth = 1,  # 线的粗细\n",
    "    data = reg_data['1995-01-01':'2023-12-31'])  # 画图的数据\n",
    "ax.plot(\n",
    "    'pd',  # 要画图的变量名\n",
    "    '.-b',  # 线的类型\n",
    "    linewidth = 1,  # 线的粗细\n",
    "    data = reg_data['1995-01-01':'2023-12-31'])  # 画图的数据\n",
    "\n",
    "plt.title(\"China's Stock Market Price Ratio\") # 画图的标题\n",
    "plt.xlabel('Month') # 画图的x轴名称\n",
    "\n",
    "\n",
    "# 设置x轴的日期显示格式\n",
    "data_format = mdates.DateFormatter('%Y')\n",
    "ax.xaxis.set_major_formatter(data_format)\n",
    "ax.xaxis.set_major_locator(mdates.YearLocator())\n",
    "\n",
    "# 转置x轴的日期显示格式\n",
    "plt.xticks(rotation = 90)\n",
    "\n",
    "plt.legend()\n",
    "\n",
    "plt.show();\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "ax1 = fig.add_subplot(1, 1, 1)  #(x, x, x)这里前两个表示几*几的网格，最后一个表示第几子图\n",
    "\n",
    "ax1.plot(reg_data['pd'],\n",
    "         color='blue',\n",
    "         marker='.',\n",
    "         linestyle='-',\n",
    "         linewidth=1,\n",
    "         markersize=6,\n",
    "         alpha=0.4,\n",
    "         label='pd')\n",
    "ax1.set_xlabel('month')  # 设置横坐标标签\n",
    "ax1.set_ylabel('Price Ratio')  # 设置左边纵坐标标签\n",
    "ax1.set_title(\"Price Ratio and Return: Monthly 2000-2021\")  # 给整张图命名\n",
    "\n",
    "ax2 = ax1.twinx()  #twinx()函数表示共享x轴\n",
    "ax2.plot(reg_data['ret'],\n",
    "         color='red',\n",
    "         marker='o',\n",
    "         linestyle='-',\n",
    "         linewidth=1,\n",
    "         markersize=2,\n",
    "         alpha=0.7,\n",
    "         label='Return')\n",
    "ax2.set_ylabel('Return')  # 设置右边纵坐标标签\n",
    "\n",
    "# 设置x轴的日期显示格式\n",
    "data_format = mdates.DateFormatter('%Y')\n",
    "ax.xaxis.set_major_formatter(data_format)\n",
    "ax.xaxis.set_major_locator(mdates.YearLocator())\n",
    "\n",
    "# 转置x轴的日期显示格式\n",
    "plt.xticks(rotation = 90)\n",
    "\n",
    "lines,labels = ax1.get_legend_handles_labels()\n",
    "lines2,labels2 = ax2.get_legend_handles_labels()\n",
    "ax2.legend(lines+lines2,labels+labels2,loc='upper right')\n",
    "\n",
    "plt.show();\n",
    "reg_data['lpd'] = reg_data['pd'].shift(1)\n",
    "model_fore_pd = smf.ols('ret ~ lpd',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 6})\n",
    "print(model_fore_pd.summary())\n",
    "reg_data['lcpi'] = reg_data['cpi'].shift(2)\n",
    "model_cpipd = smf.ols('ret ~ lcpi + lpd',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 6})\n",
    "print(model_cpipd.summary())\n",
    "reg_data\n",
    "reg_data['fitted_ret'] = model_cpipd.fittedvalues\n",
    "reg_data\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "ax = fig.add_subplot(1, 1, 1)  #(x, x, x)这里前两个表示几*几的网格，最后一个表示第几子图\n",
    "\n",
    "ax.plot(reg_data['ret'],\n",
    "         color='blue',\n",
    "         marker='.',\n",
    "         linestyle='-',\n",
    "         linewidth=1,\n",
    "         markersize=6,\n",
    "         alpha=0.4,\n",
    "         label='Market Return')\n",
    "plt.xlabel('month')  # 设置横坐标标签\n",
    "plt.ylabel('Return')  # 设置左边纵坐标标签\n",
    "#plt.legend(loc=2)  # 设置图例在左上方\n",
    "plt.title(\"Return: Monthly 1995-2021\")  # 给整张图命名\n",
    "\n",
    "# ax2 = ax1.twinx()  #twinx()函数表示共享x轴\n",
    "ax.plot(reg_data['fitted_ret'],\n",
    "         color='red',\n",
    "         marker='o',\n",
    "         linestyle='-',\n",
    "         linewidth=1,\n",
    "         markersize=2,\n",
    "         alpha=0.7,\n",
    "         label='fitted_ret')\n",
    "# ax2.set_ylabel('fitted_mv')  # 设置右边纵坐标标签\n",
    "# ax2.legend(loc=1)  # 设置图例在右上方\n",
    "\n",
    "# 设置x轴的日期显示格式\n",
    "data_format = mdates.DateFormatter('%Y')\n",
    "ax.xaxis.set_major_formatter(data_format)\n",
    "ax.xaxis.set_major_locator(mdates.YearLocator())\n",
    "\n",
    "# 转置x轴的日期显示格式\n",
    "plt.xticks(rotation = 90)\n",
    "\n",
    "plt.legend()\n",
    "\n",
    "plt.show();\n",
    "from statsmodels.iolib.summary2 import summary_col\n",
    "reg_data['lcpi'] = reg_data['cpi'].shift(2)\n",
    "reg_data['lpd'] = reg_data['pd'].shift(1)\n",
    "reg_data['lpe'] = reg_data['pe'].shift(1)\n",
    "reg_data['lpb'] = reg_data['pb'].shift(1)\n",
    "info_dict = {'No. observations': lambda x: f\"{int(x.nobs):d}\"}\n",
    "\n",
    "model_pd = smf.ols('ret ~ lpd',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 6})\n",
    "model_pe = smf.ols('ret ~ lpe',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 6})\n",
    "model_pb = smf.ols('ret ~ lpb',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 6})\n",
    "model_cpi = smf.ols('ret ~ lcpi',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 6})\n",
    "model_pdto = smf.ols('ret ~ lpd + lcpi',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 6})\n",
    "model_all = smf.ols('ret ~ lpd + lpe + lpb + lcpi',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 6})\n",
    "\n",
    "results_table = summary_col(results=[model_pd,model_pe, model_pb, model_cpi, model_pdto,model_all],\n",
    "                            float_format='%0.3f', #数据显示的格式，默认四位小数\n",
    "                            stars=True, # 是否有*，True为有\n",
    "                            model_names=['1', '2', '3','4','5','6'],\n",
    "                            info_dict=info_dict,\n",
    "                            regressor_order=['Intercept', 'lpd','lpe','lpb','lcpi'])\n",
    "\n",
    "results_table.add_title(\n",
    "    'Table - OLS Regressions: Forecast Monthly Stock Market Return')\n",
    "\n",
    "print(results_table)\n",
    "Qreg_data = reg_data.resample('QE').apply({\n",
    "    'ret':\n",
    "    lambda x: np.exp(sum(np.log( 1 + x))) - 1,\n",
    "    'pe':\n",
    "    lambda x: sum(x),\n",
    "    'pb':\n",
    "    lambda x: sum(x),\n",
    "    'pd':\n",
    "    lambda x: sum(x),\n",
    "    'cpi':\n",
    "    lambda x: sum(x),\n",
    "})\n",
    "Qreg_data\n",
    "Qreg_data['lcpi'] = Qreg_data['cpi'].shift(1)\n",
    "Qreg_data['lpd'] = Qreg_data['pd'].shift(1)\n",
    "model_to = smf.ols('ret ~ lpd + lcpi',\n",
    "                 data=Qreg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "print(model_to.summary())\n",
    "Qreg_data['lcpi'] = Qreg_data['cpi'].shift(1)\n",
    "Qreg_data['lpd'] = Qreg_data['pd'].shift(1)\n",
    "model_to = smf.ols('ret ~ lpd + lcpi',\n",
    "                 data=Qreg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "print(model_to.summary())\n",
    "reg_data.columns\n",
    "# long horizontal regression table\n",
    "from statsmodels.iolib.summary2 import summary_col\n",
    "\n",
    "info_dict = {'No. observations': lambda x: f\"{int(x.nobs):d}\"}\n",
    "\n",
    "\n",
    "model_pd = smf.ols('marketret3 ~ lpd',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_pe = smf.ols('marketret3 ~ lpe',\n",
    "                    data=reg_data['2000-01':'2024-12']).fit(\n",
    "                        cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_pb = smf.ols('marketret3 ~ lpb',\n",
    "                    data=reg_data['2000-01':'2024-12']).fit(\n",
    "                        cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_cpi = smf.ols('marketret3 ~ lcpi',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_cpipd = smf.ols('marketret3 ~ lpd + lcpi',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                        cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_cpipe = smf.ols('marketret3 ~ lpe + lcpi',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                        cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_cpipb = smf.ols('marketret3 ~ lpb + lcpi',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                        cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_all = smf.ols('marketret3 ~ lpd + lpe + lpb + lcpi',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "\n",
    "results_table = summary_col(results=[model_pd,model_pe, model_pb, model_cpi,model_cpipd,model_cpipe,model_cpipb,model_all],\n",
    "                            float_format='%0.3f', #数据显示的格式，默认四位小数\n",
    "                            stars=True, # 是否有*，True为有\n",
    "                            model_names=['1', '2', '3','4','5','6','7','8'],\n",
    "                            info_dict=info_dict,\n",
    "                            regressor_order=['Intercept','lpd','lpe','lpb','lcpi'])\n",
    "\n",
    "results_table.add_title(\n",
    "    'Table - OLS Regressions: Forecast Long Horizon Stock Market Return')\n",
    "print(results_table)\n",
    "# long horizontal regression table\n",
    "from statsmodels.iolib.summary2 import summary_col\n",
    "info_dict = {'No. observations': lambda x: f\"{int(x.nobs):d}\"}\n",
    "\n",
    "\n",
    "model_pd = smf.ols('marketret6 ~ lpd',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_pe = smf.ols('marketret6 ~ lpe',\n",
    "                    data=reg_data['2000-01':'2024-12']).fit(\n",
    "                        cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_pb = smf.ols('marketret6 ~ lpb',\n",
    "                    data=reg_data['2000-01':'2024-12']).fit(\n",
    "                        cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_cpi = smf.ols('marketret6 ~ lcpi',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_cpipd = smf.ols('marketret6 ~ lpd + lcpi',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                        cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_cpipe = smf.ols('marketret6 ~ lpe + lcpi',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                        cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_cpipb = smf.ols('marketret6 ~ lpb + lcpi',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                        cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_all = smf.ols('marketret6 ~ lpd + lpe + lpb + lcpi',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "\n",
    "results_table = summary_col(results=[model_pd,model_pe, model_pb, model_cpi,model_cpipd,model_cpipe,model_cpipb,model_all],\n",
    "                            float_format='%0.3f', #数据显示的格式，默认四位小数\n",
    "                            stars=True, # 是否有*，True为有\n",
    "                            model_names=['1', '2', '3','4','5','6','7','8'],\n",
    "                            info_dict=info_dict,\n",
    "                            regressor_order=['Intercept','lpd','lpe','lpb','lcpi'])\n",
    "\n",
    "results_table.add_title(\n",
    "    'Table - OLS Regressions: Forecast Long Horizon Stock Market Return')\n",
    "print(results_table)\n",
    "# long horizontal regression table\n",
    "from statsmodels.iolib.summary2 import summary_col\n",
    "\n",
    "info_dict = {'No. observations': lambda x: f\"{int(x.nobs):d}\"}\n",
    "\n",
    "\n",
    "model_pd = smf.ols('marketret12 ~ lpd',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_pe = smf.ols('marketret12 ~ lpe',\n",
    "                    data=reg_data['2000-01':'2024-12']).fit(\n",
    "                        cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_pb = smf.ols('marketret12 ~ lpb',\n",
    "                    data=reg_data['2000-01':'2024-12']).fit(\n",
    "                        cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_cpi = smf.ols('marketret12 ~ lcpi',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_cpipd = smf.ols('marketret12 ~ lpd + lcpi',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                        cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_cpipe = smf.ols('marketret12 ~ lpe + lcpi',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                        cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_cpipb = smf.ols('marketret12 ~ lpb + lcpi',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                        cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "model_all = smf.ols('marketret12 ~ lpd + lpe + lpb + lcpi',\n",
    "                 data=reg_data['2000-01':'2024-12']).fit(\n",
    "                     cov_type='HAC', cov_kwds={'maxlags': 2})\n",
    "\n",
    "results_table = summary_col(results=[model_pd,model_pe, model_pb, model_cpi,model_cpipd,model_cpipe,model_cpipb,model_all],\n",
    "                            float_format='%0.3f', #数据显示的格式，默认四位小数\n",
    "                            stars=True, # 是否有*，True为有\n",
    "                            model_names=['1', '2', '3','4','5','6','7','8'],\n",
    "                            info_dict=info_dict,\n",
    "                            regressor_order=['Intercept','lpd','lpe','lpb','lcpi'])\n",
    "\n",
    "results_table.add_title(\n",
    "    'Table - OLS Regressions: Forecast Long Horizon Stock Market Return')\n",
    "print(results_table)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bf71ede9",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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